Discrete-time signal processing:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Upper Saddle River, NJ
Prentice-Hall
1999
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Prentice-Hall signal processing series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXVI, 870 S. Ill., graph. Darst. |
| ISBN: | 0137549202 0130834432 |
Internformat
MARC
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| 100 | 1 | |a Oppenheim, Alan V. |d 1937- |e Verfasser |0 (DE-588)137466587 |4 aut | |
| 245 | 1 | 0 | |a Discrete-time signal processing |c Alan V. Oppenheim ; Ronald W. Schafer |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Upper Saddle River, NJ |b Prentice-Hall |c 1999 | |
| 300 | |a XXVI, 870 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 700 | 1 | |a Schafer, Ronald W. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804127293906354176 |
|---|---|
| adam_text | Contents
List of Examples
xv
Preface
xix
Acknowledgments
xxv
I Introduction
1
2
Discrete-Time Signals and Systems
8
2.0
Introduction
8
2.1
Discrete-Time Signals: Sequences
9
2.1.1
Basic Sequences and Sequence Operations
11
2.2
Discrete-lime Systems
16
2.2.1
Memoryless Systems
18
2.2.2
Linear Systems
18
2.2.3
Time-Invariant Systems
20
2.2.4
Causality
21
2.2.5
Stability
21
2.3
Linear
Urne-Invariant
Systems
22
2.4
Properties of Linear Time-Invariant Systems
28
2.5
Linear Constant-Coefficient Difference Equations
34
2.6
Frequency-Domain Representation of Discrete-lime Signals and
Systems
40
2.6.1
Eigenfunctions for Linear Time-Invariant Systems
40
2.6.2
Suddenly Applied Complex Exponential Inputs
46
2.7
Representation of Sequences by Fourier Transforms
48
2.8
Symmetry Properties of the Fourier Transform
55
2.9
Fourier Transform Theorems
58
2.9.1
Linearity of the Fourier Transform
59
2.9.2
Time Shifting and Frequency Shifting
59
2.9.3
Time Reversal
60
2.9.4
Differentiation in Frequency
60
2.9.5
Parseval s Theorem
60
2.9.6
The Convolution Theorem
60
2.9.7
The Modulation or Windowing Theorem
61
2.10
Discrete-Time Random Signals
65
2.11
Summary
70
Problems
70
3
The z-Transform
94
3.0
Introduction
94
3.1
z-Transform
94
viii
Conten
3.2
Properties of the Region of Convergence for the z-Transform
105
3.3
The Inverse z-Transform 111
3.3.1
Inspection Method 111
3.3.2
Partial Fraction Expansion
112
3.3.3
Power Series Expansion
116
3.4
z-Transform Properties
119
3.4.1
Linearity
119
3.4.2
Time Shifting
120
3.4.3
Multiplication by an Exponential Sequence
121
3.4.4
Differentiation of X(z
) 122
3.4.5
Conjugation of a Complex Sequence
123
3.4.6
Time Reversal
123
3.4.7
Convolution of Sequences
124
3.4.8
Initial-Value Theorem
126
3.4.9
Summary of Some z-Transform Properties
126
3.5
Summary
126
Problems
127
4
Sampling of Continuous-Time Signals
140
4.0
Introduction
140
4.1
Periodic Sampling
140
4.2
Frequency-Domain Representation of Sampling
142
4.3
Reconstruction of a Bandlimited Signal from Its Samples
150
4.4
Discrete-Time Processing of Continuous-Time Signals
153
4.4.1
Linear Time-Invariant Discrete-Time Systems
154
4.4.2
Impulse
Invariance
160
4.5
Continuous-Time Processing of Discrete-Time Signals
163
4.6
Changing the Sampling Rate Using Discrete-Time Processing
167
4.6.1
Sampling Rate Reduction by an Integer Factor
167
4.6.2
Increasing the Sampling Rate by an Integer Factor
172
4.6.3
Changing the Sampling Rate by
a
Noninteger
Factor
176
4.7
Multirate Signal Processing
179
4.7.1
Interchange of Filtering and Downsampling/Upsampling
179
4.7.2
Polyphase Decompositions
180
4.7.3
Polyphase Implementation of Decimation Filters
182
4.7.4
Polyphase Implementation of Interpolation Filters
183
4.8
Digital Processing of Analog Signals
185
4.8.1
Prefiltering to Avoid Aliasing
185
4.8.2
Analog-to-Digital (A/D) Conversion
187
4.8.3
Analysis of Quantization Errors
193
4.8.4 D/A
Conversion
197
4.9
Oversampling and Noise Shaping in A/D and
D/A
Conversion
201
4.9.1
Oversampled A/D Conversion with Direct
Quantization
201
4.9.2
Oversampled A/D Conversion with Noise Shaping
206
4.9.3
Oversampling and Noise Shaping in
D/A
Conversion
210
Contents
4.10
Summary
213
Problems 214
5
Transform Analysis of Linear Time-Invariant
Systems
240
5.0
Introduction
240
5.1
The Frequency Response of LTI Systems
241
5.1.1
Ideal Frequency-Selective Filters
241
5.1.2
Phase Distortion and Delay
242
5.2
System Functions for Systems Characterized by Linear
Constant-Coefficient Difference
Equations
245
5.2.1
Stability and Causality
247
5.2.2
Inverse Systems
248
5.2.3
Impulse Response for Rational System Functions
250
5.3
Frequency Response for Rational System Functions
253
5.3.1
Frequency Response of a Single Zero or Pole
258
5.3.2
Examples with Multiple Poles and Zeros
265
5.4
Relationship between Magnitude and Phase
270
5.5
All-Pass Systems
274
5.6
Minimum-Phase Systems
280
5.6.1
Minimum-Phase and All-Pass Decomposition
280
5.6.2
Frequency-Response Compensation
282
5.6.3
Properties of Minimum-Phase Systems
287
5.7
Linear Systems with Generalized Linear Phase
291
5.7.1
Systems with Linear Phase
292
5.7.2
Generalized Linear Phase
295
5.7.3
Causal Generalized Linear-Phase Systems
297
5.7.4
Relation of FIR Linear-Phase Systems to Minimum-Phase
Systems
308
5.8
Summary
311
Problems
312
6
Structures for Discrete-Time Systems
340
6.0
Introduction
340
6.1
Block Diagram Representation of Linear Constant-Coefficient
Difference Equations
341
6.2
Signal Flow Graph Representation of Linear Constant-Coefficient
Difference Equations
348
6.3
Basic Structures for IIR Systems
354
6.3.1
Direct Forms
354
6.3.2
Cascade Form
356
6.3.3
Parallel Form
359
6.3.4
Feedback in IIR Systems
361
6.4
Transposed Forms
363
6.5
Basic Network Structures for FIR Systems
366
6.5.1
Direct
Form
367
6.5.2
Cascade
Form
367
6.5.3
Structures
for Linear-Phase FIR Systems
368
6.6
Overview of Finite-Precision Numerical Effects
370
6.6.1
Number Representations
371
6.6.2
Quantization in Implementing Systems
374
6.7
The Effects of Coefficient Quantization
377
6.7.1
Effects of Coefficient Quantization in IIR Systems
377
6.7.2
Example of Coefficient Quantization in an Elliptic Filter
379
6.7.3
Poles of Quantized Second-Order Sections
382
6.7.4
Effects of Coefficient Quantization in FIR Systems
384
6.7.5
Example of Quantization of an Optimum FIR Filter
386
6.7.6
Maintaining Linear Phase
390
6.8
Effects of Round-off Noise in Digital Filters
391
6.8.1
Analysis of the Direct-Form IIR Structures
391
6.8.2
Scaling in Fixed-Point Implementations of IIR Systems
399
6.8.3
Example of Analysis of a Cascade IIR Structure
403
6.8.4
Analysis of Direct-Form FIR Systems
410
6.8.5 Floating-Point
Realizations of Discrete-Time Systems
412
6.9
Zero-Input Limit Cycles in Fixed -Point Realizations of IIR Digital
Filters
413
6.9.1
Limit Cycles due to Round-off and Truncation
414
6.9.2
Limit Cycles Due to Overflow
416
6.9.3
Avoiding Limit Cycles
417
6.10
Summary
418
Problems
419
7
Filter Design Techniques
439
7.0
Introduction
439
7.1
Design of Discrete-Time IIR Filters from Continuous-Time
Filters
442
7.1.1
Filter Design by Impulse
Invariance
443
7.1.2
Bilinear Transformation
450
7.1.3
Examples of Bilinear Transformation Design
454
7.2
Design of FIR Filters by Windowing
465
7.2.1
Properties of Commonly Used Windows
467
7.2.2
Incorporation of Generalized Linear Phase
469
7.2.3
The Kaiser Window Filter Design Method
474
7.2.4
Relationship of the Kaiser Window to Other Windows
478
7.3
Examples of FIR Filter Design by the Kaiser Window Method
478
7.3.1
Highpass Filter
479
7.3.2
Discrete-Time Differentiators
482
7.4
Optimum Approximations of FIR Filters
486
7.4.1
Optimal Type I Lowpass Filters
491
7.4.2
Optimal Type II Lowpass Filters
497
7.4.3
The Parks-McClellan Algorithm
498
Contents
7.4.4 Characteristics
of
Optimum
FIR
Filters 501
7.5
Examples of FIR Equiripple Approximation
503
7.5.1
Lowpass Filter
503
7.5.2
Compensation for Zero-Order Hold
506
7.5.3
Bandpass Filter
507
7.6
Comments on IIR and FIR Discrete-Time Filters
510
7.7
Summary
511
Problems
511
8
The Discrete Fourier Transform
541
8.0
Introduction
541
8.1
Representation of Periodic Sequences: The Discrete Fourier
Series
542
8.2
Properties of the Discrete Fourier Series
546
8.2.1
Linearity
546
8.2.2
Shift of a Sequence
546
8.2.3
Duality
547
8.2.4
Symmetry Properties
547
8.2.5
Periodic Convolution
548
8.2.6
Summary of Properties of the DFS Representation of Periodic
Sequences
550
8.3
The Fourier Transform of Periodic Signals
551
8.4
Sampling the Fourier Transform
555
8.5
Fourier Representation of Finite-Duration Sequences: The Discrete
Fourier Transform
559
8.6
Properties of the Discrete Fourier Transform
564
8.6.1
Linearity
564
8.6.2
Circular Shift of a Sequence
564
8.6.3
Duality
567
8.6.4
Symmetry Properties
568
8.6.5
Circular Convolution
571
8.6.6
Summary of Properties of the Discrete Fourier Transform
575
8.7
Linear Convolution Using the Discrete Fourier Transform
576
8.7.1
Linear Convolution of Two Finite-Length Sequences
577
8.7.2
Circular Convolution as Linear Convolution with Aliasing
577
8.7.3
Implementing Linear Time-Invariant Systems Using the
DFT
582
8.8
The Discrete Cosine Transform (DCT)
589
8.8.1
Definitions of the DCT
589
8.8.2
Definition of the DCT-1 and DCT-2
590
8.8.3
Relationship between the DFT and the DCT-1
593
8.8.4
Relationship between the DFT and the DCT-2
594
8.8.5
Energy Compaction Property of the DCT-2
595
8.8.6
Applications of the DCT
598
8.9
Summary
599
Problems
600
9
Computation of the Discrete Fourier
Transform
629
9.0
Introduction
629
9.1
Efficient Computation of the Discrete Fourier Transform
630
9.2
The Goertzel Algorithm
633
9.3
Decimation-in-Time FFT Algorithms
635
9.3.1
In-Place Computations
640
9.3.2
Alternative Forms
643
9.4
Decimation-in-Frequency FFT Algorithms
646
9.4.1
In-Place Computation
650
9.4.2
Alternative Forms
650
9.5
Practical Considerations
652
9.5.1
Indexing
652
9.5.2
Coefficients
654
9.5.3
Algorithms for More General Values of
N 655
9.6
Implementation of the DFT Using Convolution
655
9.6.1
Overview of the Winograd Fourier Transform Algorithm
655
9.6.2
The Chirp Transform Algorithm
656
9.7
Effects of Finite Register Length
661
9.8
Summary
669
Problems
669
1
O Fourier
Analysis of Signals Using the
Discrete Fourier Transform
693
10.0
Introduction
693
10.1
Fourier Analysis of Signals Using the DFT
694
10.2
DFT Analysis of Sinusoidal Signals
697
10.2.1
The Effect of Windowing
698
10.2.2
The Effect of Spectral Sampling
703
10.3
The Time-Dependent Fourier Transform
714
10.3.1
The Effect of the Window
717
10.3.2
Sampling in Time and Frequency
718
10.4
Block Convolution Using the Time-Dependent Fourier
Transform
722
10.5
Fourier Analysis of Nonstationary Signals
723
10.5.1
Time-Dependent Fourier Analysis of Speech Signals
724
10.5.2
Time-Dependent Fourier Analysis of Radar Signals
728
10.6
Fourier Analysis of Stationary Random Signals: The
Periodogram
730
10.6.1
The
Periodogram
731
10.6.2
Properties of the
Periodogram
733
10.6.3
Periodogram
Averaging
737
10.6.4
Computation of Average
Periodograms
Using the DFT
739
10.6.5
An Example of
Periodogram
Analysis
739
Contents
10.7
Spectrum
Analysis of Random Signals Using Estimates of the
Autocorrelation Sequence
743
10.7.1
Computing Correlation and Power Spectrum Estimates Using
the DFT
746
10.7.2
An Example of Power Spectrum Estimation Based on
Estimation of the Autocorrelation Sequence
748
10.8
Summary
754
Problems
755
1
I Discrete Hilbert Transforms
775
11.0
Introduction
775
11.1
Real- and Imaginary-Part Sufficiency of the Fourier Transform for
Causal Sequences
777
11.2
Sufficiency Theorems for Finite-Length Sequences
782
11.3
Relationships Between Magnitude and Phase
788
11.4
Hubert Transform Relations for Complex Sequences
789
11.4.1
Design of Hilbert Transformers
792
11.4.2
Representation of Bandpass Signals
796
11.4.3
Bandpass Sampling
799
11.5
Summary
801
Problems
802
Appendix A Random Signals
811
A.I Discrete-Time Random Processes
811
A.2 Averages
813
A.2.1 Definitions
813
A.2.2 Time Averages
815
A.3 Properties of Correlation and Covariance Sequences
817
A.4 Fourier Transform Representation of Random Signals
818
A.5 Use of the ¿-Transform in Average Power Computations
820
Appendix
В
Continuous-Time Filters
824
B.I Butterworth Lowpass Filters
824
B.2 Chebyshev Filters
826
B.3 Elliptic Filters
828
Appendix
С
Answers to Selected Basic
Problems
830
Bibliography
851
Index
859
|
| any_adam_object | 1 |
| author | Oppenheim, Alan V. 1937- Schafer, Ronald W. |
| author_GND | (DE-588)137466587 |
| author_facet | Oppenheim, Alan V. 1937- Schafer, Ronald W. |
| author_role | aut aut |
| author_sort | Oppenheim, Alan V. 1937- |
| author_variant | a v o av avo r w s rw rws |
| building | Verbundindex |
| bvnumber | BV012636872 |
| classification_rvk | ST 190 |
| classification_tum | ELT 517f |
| ctrlnum | (OCoLC)249584957 (DE-599)BVBBV012636872 |
| dewey-full | 621.3822 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3822 |
| dewey-search | 621.3822 |
| dewey-sort | 3621.3822 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Informatik Elektrotechnik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 2. ed. |
| format | Book |
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| genre | 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Lehrbuch - Digitale Signalverarbeitung |
| genre_facet | Aufgabensammlung Lehrbuch Lehrbuch - Digitale Signalverarbeitung |
| id | DE-604.BV012636872 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:31:03Z |
| institution | BVB |
| isbn | 0137549202 0130834432 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008585458 |
| oclc_num | 249584957 |
| open_access_boolean | |
| owner | DE-29T DE-861 DE-91 DE-BY-TUM DE-384 DE-91G DE-BY-TUM DE-83 DE-M100 |
| owner_facet | DE-29T DE-861 DE-91 DE-BY-TUM DE-384 DE-91G DE-BY-TUM DE-83 DE-M100 |
| physical | XXVI, 870 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Prentice-Hall |
| record_format | marc |
| series2 | Prentice-Hall signal processing series |
| spelling | Oppenheim, Alan V. 1937- Verfasser (DE-588)137466587 aut Discrete-time signal processing Alan V. Oppenheim ; Ronald W. Schafer 2. ed. Upper Saddle River, NJ Prentice-Hall 1999 XXVI, 870 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Prentice-Hall signal processing series Discrete-time systems Signal processing Zeitdiskretes System (DE-588)4127297-3 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Zeitdiskretes Signal (DE-588)4190599-4 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Zeitdiskrete Signalverarbeitung (DE-588)4401311-5 gnd rswk-swf Digitale Signalverarbeitung (DE-588)4113314-6 gnd rswk-swf Signalverarbeitung (DE-588)4054947-1 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Lehrbuch - Digitale Signalverarbeitung Zeitdiskrete Signalverarbeitung (DE-588)4401311-5 s Signalverarbeitung (DE-588)4054947-1 s Zeitdiskretes System (DE-588)4127297-3 s Digitale Signalverarbeitung (DE-588)4113314-6 s Zeitdiskretes Signal (DE-588)4190599-4 s 3\p DE-604 Mathematik (DE-588)4037944-9 s 4\p DE-604 Fourier-Transformation (DE-588)4018014-1 s 5\p DE-604 Schafer, Ronald W. Verfasser aut Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008585458&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Oppenheim, Alan V. 1937- Schafer, Ronald W. Discrete-time signal processing Discrete-time systems Signal processing Zeitdiskretes System (DE-588)4127297-3 gnd Mathematik (DE-588)4037944-9 gnd Zeitdiskretes Signal (DE-588)4190599-4 gnd Fourier-Transformation (DE-588)4018014-1 gnd Zeitdiskrete Signalverarbeitung (DE-588)4401311-5 gnd Digitale Signalverarbeitung (DE-588)4113314-6 gnd Signalverarbeitung (DE-588)4054947-1 gnd |
| subject_GND | (DE-588)4127297-3 (DE-588)4037944-9 (DE-588)4190599-4 (DE-588)4018014-1 (DE-588)4401311-5 (DE-588)4113314-6 (DE-588)4054947-1 (DE-588)4143389-0 (DE-588)4123623-3 |
| title | Discrete-time signal processing |
| title_auth | Discrete-time signal processing |
| title_exact_search | Discrete-time signal processing |
| title_full | Discrete-time signal processing Alan V. Oppenheim ; Ronald W. Schafer |
| title_fullStr | Discrete-time signal processing Alan V. Oppenheim ; Ronald W. Schafer |
| title_full_unstemmed | Discrete-time signal processing Alan V. Oppenheim ; Ronald W. Schafer |
| title_short | Discrete-time signal processing |
| title_sort | discrete time signal processing |
| topic | Discrete-time systems Signal processing Zeitdiskretes System (DE-588)4127297-3 gnd Mathematik (DE-588)4037944-9 gnd Zeitdiskretes Signal (DE-588)4190599-4 gnd Fourier-Transformation (DE-588)4018014-1 gnd Zeitdiskrete Signalverarbeitung (DE-588)4401311-5 gnd Digitale Signalverarbeitung (DE-588)4113314-6 gnd Signalverarbeitung (DE-588)4054947-1 gnd |
| topic_facet | Discrete-time systems Signal processing Zeitdiskretes System Mathematik Zeitdiskretes Signal Fourier-Transformation Zeitdiskrete Signalverarbeitung Digitale Signalverarbeitung Signalverarbeitung Aufgabensammlung Lehrbuch Lehrbuch - Digitale Signalverarbeitung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008585458&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT oppenheimalanv discretetimesignalprocessing AT schaferronaldw discretetimesignalprocessing |